2010122111001 has 16 divisors (see below), whose sum is σ = 2890034360640. Its totient is φ = 1238586151680.

The previous prime is 2010122110987. The next prime is 2010122111087. The reversal of 2010122111001 is 1001112210102.

It is not a de Polignac number, because 2010122111001 - 2¹⁵ = 2010122078233 is a prime.

It is a super-3 number, since 3×2010122111001³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2010122112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430062300 + ... + 430066973.

It is an arithmetic number, because the mean of its divisors is an integer number (180627147540).

Almost surely, 2^{2010122111001} is an apocalyptic number.

It is an amenable number.

2010122111001 is a deficient number, since it is larger than the sum of its proper divisors (879912249639).

2010122111001 is a wasteful number, since it uses less digits than its factorization.

2010122111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860129336.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2010122111001 its reverse (1001112210102), we get a palindrome (3011234321103).

The spelling of 2010122111001 in words is "two trillion, ten billion, one hundred twenty-two million, one hundred eleven thousand, one".